Idea 1: Modular Flow

\(\begin{pmatrix} e^s & 0 \\ 0 & e^{-s} \end{pmatrix}\) acts on lattices…

Choose your lattice and your period carefully!

Modular Flow

Edit by @Rano_Loser

Idea 2: Elliptic Functions

Elliptic functions are doubly-periodic, meromorphic functions on \(\mathbb{C}\).

Weierstrass \(\wp\) function conforming to periodic lattice

Phase (using \(\wp\))

using \(\wp'\)

cn (using Jacobi elliptic function)

Quasi (using Weierstrass \(\sigma\))